Search a number
-
+
331201120212 = 2233171017612347
BaseRepresentation
bin1001101000111010010…
…00000000011111010100
31011122212222100011022000
410310131020000133110
520411244441321322
6412052433235300
732633321033364
oct4643510003724
91148788304260
10331201120212
11118509441766
1254232702b30
1325302cbb011
141205cccc9a4
1589369953ac
hex4d1d2007d4

331201120212 has 192 divisors, whose sum is σ = 919779598080. Its totient is φ = 102698496000.

The previous prime is 331201120177. The next prime is 331201120253. The reversal of 331201120212 is 212021102133.

331201120212 is a `hidden beast` number, since 331 + 2 + 0 + 1 + 120 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141115623 + ... + 141117969.

It is an arithmetic number, because the mean of its divisors is an integer number (4790518740).

Almost surely, 2331201120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331201120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459889799040).

331201120212 is an abundant number, since it is smaller than the sum of its proper divisors (588578477868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331201120212 is a wasteful number, since it uses less digits than its factorization.

331201120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331201120212 its reverse (212021102133), we get a palindrome (543222222345).

The spelling of 331201120212 in words is "three hundred thirty-one billion, two hundred one million, one hundred twenty thousand, two hundred twelve".